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Finding the Third Proportional to 378,127.75 and 585,782.25

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Solution

The third proportional to 378,127.75 and 585,782.25 is: 907,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,127.75 : 585,782.25 = 585,782.25 : x
  2. Step 2: Convert to fraction form
    378,127.75/585,782.25 = 585,782.25/x
  3. Step 3: Cross multiply
    378,127.75x = 585,782.25 × 585,782.25
  4. Step 4: Simplify right side
    378,127.75x = 343,140,844,415.06
  5. Step 5: Solve for x
    x = 343,140,844,415.06/378,127.75
  6. Step 6: Final answer
    x = 907,473.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.